Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200k |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3403101575376000000 = 210 · 320 · 56 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-524608,-116066288] |
[a1,a2,a3,a4,a6] |
j |
997951153588708/212693848461 |
j-invariant |
L |
1.4405744638003 |
L(r)(E,1)/r! |
Ω |
0.18007180868775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600l3 2928e4 |
Quadratic twists by: -4 5 |